320525405200 has 1440 divisors, whose sum is σ = 1154288620800. Its totient is φ = 83994624000.

The previous prime is 320525405197. The next prime is 320525405203. The reversal of 320525405200 is 2504525023.

It is an interprime number because it is at equal distance from previous prime (320525405197) and next prime (320525405203).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320525405203) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10339529185 + ... + 10339529215.

It is an arithmetic number, because the mean of its divisors is an integer number (801589320).

Almost surely, 2^320525405200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320525405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577144310400).

320525405200 is an abundant number, since it is smaller than the sum of its proper divisors (833763215600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320525405200 is a wasteful number, since it uses less digits than its factorization.

320525405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The spelling of 320525405200 in words is "three hundred twenty billion, five hundred twenty-five million, four hundred five thousand, two hundred".